7 Acknowledgements

I would like to express my special gratitude and thanks to my thesis advisor, Dr. Douglas Andrews, for his many ideas, suggestions and guidance throughout my research process. My thanks and appreciations also go to Dr. Alyssa Hoofnagle and Dr. Sunny Jeong for being on my thesis committee, and most importantly, for giving me feedback on how to improve my thesis. I would also like to thank the Department of Mathematics and Computer Science at Wittenberg University for providing me the valuable knowledge during my undergraduate career, and for giving me this amazing opportunity to participate in the Departmental Honors Program.